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Dynamic Soil–Structure–Equipment Interaction (II): Closed-form Analytical Solution for Incident Plane SH-wave Based on Flexible Foundation Model
Journal of Earthquake Engineering ( IF 2.6 ) Pub Date : 2020-11-26 , DOI: 10.1080/13632469.2020.1840458
Liguo Jin 1, 2 , Wen Zhou 2 , Jianwen Liang 3 , Yihe Huang 4
Affiliation  

ABSTRACT

We study a two-dimensional structure–equipment model standing on a semi-circular flexible foundation embedded in the homogeneous half-space subjected with plane SH-waves, as a companion to the previous study of dynamic soil–structure–equipment interaction based on rigid-foundation model. We obtain the analytical solution of the system response that demonstrates the influence of foundation stiffness on the response of the soil–structure–equipment interaction system. The results show that, after considering the influence of the foundation stiffness, the effective foundation input motion is amplified, and the maximum amplification percentage can reach to 32.8%. The peak of the floor relative response is amplified by 18.5% and the frequency corresponding to the peak shifts to the lower range with the maximum shift percentage 16.1%. The peak of the equipment relative response can be amplified by 76.7%. There is significant relative deformation in the foundation when the wave is obliquely incident. The equipment-structure frequency ratio and mass ratio are important parameters that reflect the dynamic characteristics of the soil-structure–equipment system. When the equipment-structure frequency ratio is between 0.5 and 1.0, the dynamic characteristics of the structure–equipment system change. We propose a parameter (Ψ) to measure the extent to which the equipment participates in the soil–structure interaction.



中文翻译:

动态土-结构-设备相互作用(二):基于柔性地基模型的入射面SH波封闭式解析解

摘要

我们研究了一个基于半圆形柔性基础的二维结构-设备模型,该基础嵌入在平面 SH 波作用下的均匀半空间中,作为先前基于刚性的动态土壤-结构-设备相互作用研究的伴侣。 -基础模型。我们获得了系统响应的解析解,该解说明了地基刚度对土壤-结构-设备相互作用系统响应的影响。结果表明,在考虑地基刚度影响后,有效地基输入运动被放大,最大放大率可达32.8%。本底相对响应的峰值放大了 18.5%,峰值对应的频率向较低范围偏移,最大偏移百分比为 16.1%。设备相对响应峰值可放大76.7%。当波斜入射时,地基有明显的相对变形。设备-结构频率比和质量比是反映土-结构-设备系统动态特性的重要参数。当设备-结构频率比在0.5~1.0之间时,结构-设备系统的动态特性会发生变化。我们提出一个参数(5和1.0,结构-设备系统的动态特性发生了变化。我们提出一个参数(5和1.0,结构-设备系统的动态特性发生了变化。我们提出一个参数(Ψ ) 来衡量设备参与土壤-结构相互作用的程度。

更新日期:2020-11-26
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